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Finding the Third Proportional to 176,227 and 264,395

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Solution

The third proportional to 176,227 and 264,395 is: 396,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,227 : 264,395 = 264,395 : x
  2. Step 2: Convert to fraction form
    176,227/264,395 = 264,395/x
  3. Step 3: Cross multiply
    176,227x = 264,395 × 264,395
  4. Step 4: Simplify right side
    176,227x = 69,904,716,025
  5. Step 5: Solve for x
    x = 69,904,716,025/176,227
  6. Step 6: Final answer
    x = 396,674.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.